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1)  crossed circles
双交圆
2)  two circular cylinders in cruciform arrangement
正交双圆柱
1.
The virtual boundary method is extended to three-dimensional application and used to simulate the flow passing around two circular cylinders in cruciform arrangement at Re = 150, and the flow field of two spheres in tandem arrangement at Re = 250.
把Goldstein等人提出的虚拟边界法推广到三维情况,研究了Re=150时不同间距下正交双圆柱绕流,和Re=250时不同间距下串列双圆球绕流流场。
3)  two ellipsoid overlap method
双椭圆相交法
1.
To realize real time fault detection and diagnosis when multi sensors have faults simultaneously in the linear control system, a set of two ellipsoid confidence regions was constructed based on two ellipsoid overlap method.
以双椭圆相交法为基础构造一组双椭圆置信域 ,每个双椭圆置信域用来检测相应的传感器是否发生故障 。
4)  flow around two circular cylinders in cruciform arrangement
垂直交叉双圆柱绕流
1.
Numerical simulations of flow around two circular cylinders in cruciform arrangement and vortex structures analysis;
垂直交叉双圆柱绕流数值模拟及涡结构分析
5)  orthogonal cylinder-hyperboloid cylinder lens
正交圆柱面-双曲柱面平面透镜
6)  orthogonal cylin-der-Hyperboloid cylinder lens
正交圆柱面一双曲柱面平面透镜
补充资料:双正交系


双正交系
biorthogona! system

双正交系{bi留山呢阅习s邓tem .6味甲r一-0姗-Ma飞 一付集合州r}和!乙}(/了),其中{“1}是个(拓扑)向量空间X的元素集,毛迁是丫的(拓扑)对偶空间刃‘的儿素集,它们满足条树:~与:书、时 粼a;)二<若,。、>逻0,当t二s时,易(“)毖0‘这里火二、是藕合尤和灭‘的典范双线性型).例如.个双正交系可由一组阮hal乙日er基(s chauder basis)和义按它展开的系数所形成的集合来构成在一个有标量积、·,·、和基币。;的Hil-bert空间H中,满足条件 二氏的集合巨「:也是一组基,这甲当t二对付,众,二1,{含,笋、时,氏,二。这组基称为{a}的对偶(d喇)基、幸封月为H=H,,集合抽}和笼执形成仅正交系.特别是“中的基称为规范正交的(ortholun朋l),如果它对偶于自身. 然而,也存在甚至不形成弱基的双正交系;一个例子是在赋以范数’一f一suPI八劝{的周期连续函数空间中的函数集。‘版,其中左任Z,、任R.
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